The instanton universal moduli space of N=2 supersymmetric Yang–Mills theory

We use the recursive structure of the compactification of the instanton moduli space of N=2 super-Yang–Mills theory with gauge group SU(2) to construct, by an inductive limit, a universal moduli space which includes all the multi-instanton moduli spaces. Furthermore, by exploiting an analogy with the strong and weak coupling expansions in the Matrix Model formulation of 2D Quantum Gravity, we discuss the possible field theoretical meaning of the contributions to the prepotential in the strong coupling region. In particular, whereas the weak and strong coupling expansions of the Painlevé I correspond to the genus and punctured spheres expansions, in the case of the instantons there should exist a space dual to the instanton moduli space.